Effect of phonon bath dimensionality on the spectral efficiency of single-photon emitters in the Purcell regime

Abstract

We develop a theoretical frame to investigate the single-photon emission spectral efficiency of a solid-state nano-emitter embedded in a high quality factor micro-cavity. This study encompasses the case of localized excitons embedded in a one, two or three-dimensional matrix. The populations evolutions are calculated based on a spin-boson model, using the non-interacting blip approximation (NIBA). We find that the single-photon spectral efficiency of the cavity-coupled emitter can be expressed by a simple formula, taking as inputs the free-space emission and absorption spectra of the emitter as well as the loss rates of the system. In other words, the information on the interaction between the exciton and the phonon bath, encoded in the free-space behavior of the emitter, is sufficient to obtain the dynamics of the system in the cavity. We compute numerically the spectral efficiency for several types of localized emitters and show distinct behaviors depending on the phonon bath dimensionality. In particular, a pronounced asymmetric energy exchange between the emitter and the cavity on the side-bands can yield a considerable extension of the tuning range of the sources through phonon-assisted cavity feeding.

References in corpus (9)

• Photonic quantum technologies
• Two dimensional semiconductors with possible high room temperature mobility
• Near-unity quantum yield from carbon nanotube excitons coupled to plasmonic nanocavities
• Widely tunable single-photon source from a carbon nanotube in the Purcell regime
• Cavity-funneled generation of indistinguishable single photons from strongly dissipative quantum emitters
• Enhancement of carbon nanotube photoluminescence by photonic crystal nanocavities
• Unifying the low-temperature photoluminescence spectra of carbon nanotubes: the role of acoustic phonon confinement
• Exploiting one-dimensional exciton-phonon coupling for tunable and efficient single-photon generation with a carbon nanotube
• Influence of phonons on solid-state cavity-QED investigated using nonequilibrium Green's functions

Cited by in corpus (4)

• A telecom band single-photon source using a grafted carbon nanotube coupled to a fiber Fabry-Perot cavity in the Purcell regime
• Single-photon emitters in WSe${}_2$: Critical role of phonons on excitation schemes and indistinguishability
• Collective photon emission in solid state environments: Concatenating non-markovian and markovian dynamics
• One-dimensional photonic wire as a single-photon source: Implications of cavity QED to a phonon bath of reduced dimensionality